@@ Property / Symbols used @@
+Riemann zeta function
@@ Property / Symbols used: Riemann zeta function / rank @@
+Normal rank
@@ Property / Symbols used: Riemann zeta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$ 
\Riemannzeta@{\NVar{s}}
@@ Property / Symbols used: Riemann zeta function / qualifier @@
+xml-id: C25.S2.E1.m2adec
@@ Property / Symbols used @@
+Q10769
@@ Property / Symbols used: Q10769 / rank @@
+Normal rank
@@ Property / Symbols used: Q10769 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\equiv}}$ 
\defeq
@@ Property / Symbols used: Q10769 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r9.m2adec
@@ Property / Symbols used @@
+exponential function
@@ Property / Symbols used: exponential function / rank @@
+Normal rank
@@ Property / Symbols used: exponential function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\exp\NVar{z}}}$ 
\exp@@{\NVar{z}}
@@ Property / Symbols used: exponential function / qualifier @@
+xml-id: C4.S2.E19.m2adec
@@ Property / Symbols used @@
+imaginary unit
@@ Property / Symbols used: imaginary unit / rank @@
+Normal rank
@@ Property / Symbols used: imaginary unit / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{i}}}$ 
\iunit
@@ Property / Symbols used: imaginary unit / qualifier @@
+xml-id: C1.S9.E1.m2adec
@@ Property / Symbols used @@
+Q12158
@@ Property / Symbols used: Q12158 / rank @@
+Normal rank
@@ Property / Symbols used: Q12158 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle Z(t)}}$ 
Z(t)
@@ Property / Symbols used: Q12158 / qualifier @@
+xml-id: C25.S10.XMD1.m1dec
@@ Property / Symbols used @@
+Q12159
@@ Property / Symbols used: Q12159 / rank @@
+Normal rank
@@ Property / Symbols used: Q12159 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\vartheta(t)}}$ 
\vartheta(t)
@@ Property / Symbols used: Q12159 / qualifier @@
+xml-id: C25.S10.XMD2.m1dec

DLMF:25.10.E1 (Q7671): Difference between revisions

ζ ⁡ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}

≡ equal-by definition {\displaystyle{\displaystyle\equiv}}

exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

Z ⁢ ( t ) 𝑍 𝑡 {\displaystyle{\displaystyle Z(t)}}

ϑ ⁢ ( t ) italic-ϑ 𝑡 {\displaystyle{\displaystyle\vartheta(t)}}

Latest revision as of 13:35, 2 January 2020

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${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$

${\displaystyle{\displaystyle\equiv}}$

${\displaystyle{\displaystyle\exp\NVar{z}}}$

${\displaystyle{\displaystyle\mathrm{i}}}$

${\displaystyle{\displaystyle Z(t)}}$

${\displaystyle{\displaystyle\vartheta(t)}}$